ReasoningAges 7-9

Magic square missing values

Use the constant row sum of a 3 × 3 magic square to deduce the missing cell value. Review suitability for your learners before teaching.

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Worksheet StudioPractice pack · Ages 7-9

Magic square missing values

Take your time. Show your thinking.

1. In a magic square, every row adds up to 20. One row has 2, 13, and ____. What is the missing number?
20 · 2 · 13 · Magic square missing values
2. In a magic square, every row adds up to 24. One row has 10, 3, and ____. What is the missing number?
24 · 10 · 3 · Magic square missing values
3. In a magic square, every row adds up to 43. One row has 16, 10, and ____. What is the missing number?
43 · 16 · 10 · Magic square missing values
4. In a magic square, every row adds up to 21. One row has 3, 3, and ____. What is the missing number?
21 · 3 · 3 · Magic square missing values
5. In a magic square, every row adds up to 23. One row has 5, 15, and ____. What is the missing number?
23 · 5 · 15 · Magic square missing values
6. In a magic square, every row adds up to 35. One row has 13, 3, and ____. What is the missing number?
35 · 13 · 3 · Magic square missing values
7. In a magic square, every row adds up to 37. One row has 5, 13, and ____. What is the missing number?
37 · 5 · 13 · Magic square missing values
8. In a magic square, every row adds up to 16. One row has 4, 4, and ____. What is the missing number?
16 · 4 · 4 · Magic square missing values
9. In a magic square, every row adds up to 23. One row has 3, 17, and ____. What is the missing number?
23 · 3 · 17 · Magic square missing values
10. In a magic square, every row adds up to 21. One row has 8, 5, and ____. What is the missing number?
21 · 8 · 5 · Magic square missing values
11. In a magic square, every row adds up to 30. One row has 7, 11, and ____. What is the missing number?
30 · 7 · 11 · Magic square missing values
12. In a magic square, every row adds up to 22. One row has 2, 10, and ____. What is the missing number?
22 · 2 · 10 · Magic square missing values

12 questions · Seed 65 · Age guidance, not curriculum certification

View the answer key

Worksheet StudioAnswer key · Ages 7-9

Magic square missing values

Answers and reasoning. Review before teaching.

1. In a magic square, every row adds up to 20. One row has 2, 13, and ____. What is the missing number?
5
Subtract 2 + 13 = 15 from 20: 20 − 15 = 5.
2. In a magic square, every row adds up to 24. One row has 10, 3, and ____. What is the missing number?
11
Subtract 10 + 3 = 13 from 24: 24 − 13 = 11.
3. In a magic square, every row adds up to 43. One row has 16, 10, and ____. What is the missing number?
17
Subtract 16 + 10 = 26 from 43: 43 − 26 = 17.
4. In a magic square, every row adds up to 21. One row has 3, 3, and ____. What is the missing number?
15
Subtract 3 + 3 = 6 from 21: 21 − 6 = 15.
5. In a magic square, every row adds up to 23. One row has 5, 15, and ____. What is the missing number?
3
Subtract 5 + 15 = 20 from 23: 23 − 20 = 3.
6. In a magic square, every row adds up to 35. One row has 13, 3, and ____. What is the missing number?
19
Subtract 13 + 3 = 16 from 35: 35 − 16 = 19.
7. In a magic square, every row adds up to 37. One row has 5, 13, and ____. What is the missing number?
19
Subtract 5 + 13 = 18 from 37: 37 − 18 = 19.
8. In a magic square, every row adds up to 16. One row has 4, 4, and ____. What is the missing number?
8
Subtract 4 + 4 = 8 from 16: 16 − 8 = 8.
9. In a magic square, every row adds up to 23. One row has 3, 17, and ____. What is the missing number?
3
Subtract 3 + 17 = 20 from 23: 23 − 20 = 3.
10. In a magic square, every row adds up to 21. One row has 8, 5, and ____. What is the missing number?
8
Subtract 8 + 5 = 13 from 21: 21 − 13 = 8.
11. In a magic square, every row adds up to 30. One row has 7, 11, and ____. What is the missing number?
12
Subtract 7 + 11 = 18 from 30: 30 − 18 = 12.
12. In a magic square, every row adds up to 22. One row has 2, 10, and ____. What is the missing number?
10
Subtract 2 + 10 = 12 from 22: 22 − 12 = 10.

12 questions · Seed 65 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 7-9

Magic square missing values

Take your time. Show your thinking.

1. In a magic square, every row adds up to 20. One row has 2, 13, and ____. What is the missing number?
20 · 2 · 13 · Magic square missing values
2. In a magic square, every row adds up to 24. One row has 10, 3, and ____. What is the missing number?
24 · 10 · 3 · Magic square missing values
3. In a magic square, every row adds up to 43. One row has 16, 10, and ____. What is the missing number?
43 · 16 · 10 · Magic square missing values
4. In a magic square, every row adds up to 21. One row has 3, 3, and ____. What is the missing number?
21 · 3 · 3 · Magic square missing values
5. In a magic square, every row adds up to 23. One row has 5, 15, and ____. What is the missing number?
23 · 5 · 15 · Magic square missing values
6. In a magic square, every row adds up to 35. One row has 13, 3, and ____. What is the missing number?
35 · 13 · 3 · Magic square missing values
7. In a magic square, every row adds up to 37. One row has 5, 13, and ____. What is the missing number?
37 · 5 · 13 · Magic square missing values
8. In a magic square, every row adds up to 16. One row has 4, 4, and ____. What is the missing number?
16 · 4 · 4 · Magic square missing values
9. In a magic square, every row adds up to 23. One row has 3, 17, and ____. What is the missing number?
23 · 3 · 17 · Magic square missing values
10. In a magic square, every row adds up to 21. One row has 8, 5, and ____. What is the missing number?
21 · 8 · 5 · Magic square missing values
11. In a magic square, every row adds up to 30. One row has 7, 11, and ____. What is the missing number?
30 · 7 · 11 · Magic square missing values
12. In a magic square, every row adds up to 22. One row has 2, 10, and ____. What is the missing number?
22 · 2 · 10 · Magic square missing values

12 questions · Seed 65 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 7-9

Magic square missing values

Answers and reasoning. Review before teaching.

1. In a magic square, every row adds up to 20. One row has 2, 13, and ____. What is the missing number?
5
Subtract 2 + 13 = 15 from 20: 20 − 15 = 5.
2. In a magic square, every row adds up to 24. One row has 10, 3, and ____. What is the missing number?
11
Subtract 10 + 3 = 13 from 24: 24 − 13 = 11.
3. In a magic square, every row adds up to 43. One row has 16, 10, and ____. What is the missing number?
17
Subtract 16 + 10 = 26 from 43: 43 − 26 = 17.
4. In a magic square, every row adds up to 21. One row has 3, 3, and ____. What is the missing number?
15
Subtract 3 + 3 = 6 from 21: 21 − 6 = 15.
5. In a magic square, every row adds up to 23. One row has 5, 15, and ____. What is the missing number?
3
Subtract 5 + 15 = 20 from 23: 23 − 20 = 3.
6. In a magic square, every row adds up to 35. One row has 13, 3, and ____. What is the missing number?
19
Subtract 13 + 3 = 16 from 35: 35 − 16 = 19.
7. In a magic square, every row adds up to 37. One row has 5, 13, and ____. What is the missing number?
19
Subtract 5 + 13 = 18 from 37: 37 − 18 = 19.
8. In a magic square, every row adds up to 16. One row has 4, 4, and ____. What is the missing number?
8
Subtract 4 + 4 = 8 from 16: 16 − 8 = 8.
9. In a magic square, every row adds up to 23. One row has 3, 17, and ____. What is the missing number?
3
Subtract 3 + 17 = 20 from 23: 23 − 20 = 3.
10. In a magic square, every row adds up to 21. One row has 8, 5, and ____. What is the missing number?
8
Subtract 8 + 5 = 13 from 21: 21 − 13 = 8.
11. In a magic square, every row adds up to 30. One row has 7, 11, and ____. What is the missing number?
12
Subtract 7 + 11 = 18 from 30: 30 − 18 = 12.
12. In a magic square, every row adds up to 22. One row has 2, 10, and ____. What is the missing number?
10
Subtract 2 + 10 = 12 from 22: 22 − 12 = 10.

12 questions · Seed 65 · Age guidance, not curriculum certification